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Finding the Fourth Proportional to 2,237.54, 3,341.23 and 1,827.47

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Solution

The fourth proportional to 2,237.54, 3,341.23 and 1,827.47 is: 2,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.54 : 3,341.23 = 1,827.47 : x
  2. Step 2: Convert to fraction form
    2,237.54/3,341.23 = 1,827.47/x
  3. Step 3: Cross multiply
    2,237.54x = 3,341.23 × 1,827.47
  4. Step 4: Simplify right side
    2,237.54x = 6,105,997.59
  5. Step 5: Solve for x
    x = 6,105,997.59/2,237.54
  6. Step 6: Final answer
    x = 2,728.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.